Q1) Solve the following ordinary differentiai eyilation: (x + y)dy = dx

Q: Find a solution to the euler equation, from : rx2 (2? – y/²)dx

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Q: Express æ = 3t, y = tan-'(t4 + e') in the form y = f(x) by eliminating the parameter.

A: Given : x = 3ty = tan-1t4+et

Q: Q4) find the soluation of differention equation using exact equation 1) (1 + x²)dy+(2xydx)=0

A: I am attaching image so that you understand each and every step.

Q: Q4:- Find sinvx dx n=5 by trapezoidal and Simpson method.

A: Given integral is   n=5 Here f(x)=sinx By Trapezoidal rule…

Q: Solve the attached equations  by the method of undeterminedcoefficients.

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Q: solve using the appropriate method.

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Q: Solve this Di fferential equat ion by applying (Variation parameters) y+y%3DSE c x

A: The given differential equation is y''+y = sec x

Q: use two and three points of Gaussian-Quadrature method to Find 1 = e" e(1+sinx) dx

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Q: 7 1. 2ydx+x²dy = - dx; y = - when x =1 In 2 2

A: Given:- 2y dx +x2 dy =-dx  To find:- Solution of Differential equation at y = 7/2 when x =1/ln(2)

Q: dz Consider In(4r2 + y?) + sec(9y²) + e²* = tan(xz). Find

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Q: y to solve the following linear differe ] dy

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Q: dy - y = x y2 In x dx

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Q: Use the method of undetermined coefficlents to solve the following problem. y +8y = e-8t sin t, y(0)…

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Q: The approximation of I = (x-3)e* dx by composite Trapezoidal rule with %3D n=4 is:

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Q: Solve the particular solution of (D2 + 1) y = sec (x) tan (x) using variation of parameters

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Q: M(x,y) + N(x,y)*dy/dx = 0 ? is it Exact Equation?

A: Consider the equationMx,y+Nx,y×dydx=0provided that there exists a function ψ(x,y) such that∂ψ∂x=Mx,y…

Q: solve by Bernoulli's Equation y(6y2 – x - 1) dx + 2 x dy = 0

A: Given differential equation is  y(6y2-x-1) dx + 2x dy=0 ⇒            2x dy = - y(6y2-x-1) dx…

Q: 1. Solve, using the method of variation of parameters: y" + y = sec 0 tan 0

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Q: Solve the D. E J+gtanx = sin ex

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Q: In each exercise, obtain the particular of solution. (16x + 5y) dx + (3x + y) dy 0; the curve to…

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Q: Match the equation to the graph. y 2 sin 30 - 1 %3D Sn / 3n 7n 21 4.

A: y=2sin3θ-1Use the form  a sin ( b x − c ) + d  to find the variables used to find the amplitude,…

Q: 2. 2x5 = y(3x* + y²) %3D dx

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Q: Find the solution of the equation a²z a²z + cos y V ax² dy² which tends to zero as x→∞ and has the…

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Q: Q3 Find dy/dx on the graph y sec/x+ y? = cos2x at point (1, 2).

A: We have to find dy/dx at (1,2).

Q: Express æ = e-t, y = 2e2" in the form y = f(x) by eliminating the parameter y =

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Q: The equation y = xy can be classified as FOLDE and Bernoulli’s equation. True False

A: Given that, Differential equation is following, dydx+4x2y=xy We have to find that this D.E can be…

Q: Q3 Find dy/dx on the graph y sec x? + y? = cos2x at point (1, 2).

A: Derivative of implicit function

Q: Find dy. y=cos(7 *square root of X)

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Q: c) Se' sec (e - 1) dt

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Q: Solve the initial-value pxoblem dy dr COSX-Sinx t %3D yro)%3D0 Using Adams. Moulton.

A: Given differential equation is dydx=cosx-sinx+y Let  f(x,y)=cosx-sinx+y                 (1) 0≤x≤0.5,…

Q: Solve by finding an I.F 1. xdy – ydx = (x² + y² }£x y - sin x 2. dy + -dx = 0 ......

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: d'y Using method of variation of parameters solve + 4y = 4 tan 2x dx?

A: d2ydx2+4y=4tan2x

Q: Given x²y3 = In(xy) Show (using complete solution) if the equality below holds dx (x\(3x²y3 – 1\ dy…

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to x

Q: Q2/A/<he di fferential equation is yedx +3xay+dx +dyno diff erential when fineling the solution to a…

A: To find: The solution of differential equation y2dx+3x2y2dx+dy=0 and also find the constant (c) at a…

Q: -x2 + 5 2. y = cos 2x³

A: Given: y=-x2+5cos2x3

Q: Use Picard’s Method with 3 iterations to solve for y(0.1) and y(0.2), the equation dy/dx = x2+y2;…

A: Picard method: Consider the initial value problem, dydx=fx, y, yx0=y0 Then  yn+1=y0+∫x0xfx,yndx…

Q: Determine the form of a particular solution yp for y"+y cosx

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Q: b) Find the general solution of (3sin y– 5x)dx+2x² cot ydy = 0

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Q: Find d2y/dx2 implicitly in terms of x and y 7xy + sin x = 2

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Q: 1. (5x + 4y) dx + (4x – 8y³) dy = -

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Q: Use the method of characteristics to solve the first order equation Ug – 2uy = 3 with u(x, x) =…

A: Method of Characteristics and General Solutions: The general solution of the quasi-linear equation…

Q: Choose the four correct steps (in order) involved in the solution of S"I (2x – sin(y)) dx dy.

A: This is a question of double integration where we need to integrate wrt 'x' first and then wrt 'y'.…

Q: Q6// Solve the equation: y cos2 x dy + sin x dx = 0.

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Q: Solve for the DE equation associated by the given function: у %3D Ае2* + Ве* + С. а.

A: the given solution of differential equation isy=Ae2x+Bex+C

Q: Choose the values that would complete the general solution for y = arccos (-1 ±2tk HIN O O O O 0

A: Given:     y= arccos-1

Q: of Solve the initial value problem xdy + dy= ydx, yca) =6 %3D df dx find the function fox) Given =…

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Q: Use the method of isoclines to draw several solution curves for the equation: dy/dx = x/y

A: We can use isocline lines to draw constant slopes along that line. Using some (at least four but six…

Q: O Solve the DE: - sin dy y + dx

A: We have to solve the given D. E.

Q: Use Green's function method to solve the following BVP y" – y = cosx, y(0) = 0, y(ln2) = 2 %3D

A: The given differential equation is y''-y=cosx   ….(1) and the initial condition is y(0)=0 and…

Q: Solve the equations by variation of parameters. d2y/dx2 -dy/dx = ex cos x, x&gt; 0

A: d2ydx2-dydx=excosx